A line that contains the points (5, −3) and (7, 3) has a slope, m, that equals

Answer:

Relationship: As the input increases by 1, the output increases by 3.

Equation: y=3x-1

~Hope this helps~

Answer:

an algorithm method just means a step by step procedure which in this case its means decimal subtraction in number 3.

Step-by-step explanation:

i hope this helps :)

Answer:

All three students are correct

Step-by-step explanation:

Given

Equation: -2.5(5 - n) + 2 = 15

Required

Which students are correct

To determine which of the students are correct; we have to test each of their solutions

SHAWNA

Statement: Dividing each side of the equation by –2.5 to get 5 - n - 2/2.5 = -15/2.5

[tex]\frac{-2.5(5 - n) + 2}{-2.5} = \frac{15}{-2.5}[/tex]

Split fractions

[tex]\frac{-2.5(5 - n)}{-2.5} + \frac{2}{-2.5} = \frac{15}{-2.5}[/tex]

Simplify each fraction

[tex]5-n - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]

Shawna is correct...

DEXTER

Statement: Distributing -2.5 to get -12.5 + 2.5 n + 2 = 15.

[tex]-2.5(5 - n) + 2 = 15[/tex]

Open brackets

[tex]-12.5 + 2.5n + 2 = 15[/tex]

Dexter is also correct...

TILANA

[tex]\frac{-1}{2.5}(-2.5(5 - n) + 2) = \frac{-1}{2.5} * 15[/tex]

Open brackets

[tex]\frac{-1}{2.5}(-2.5(5 - n)) + \frac{-1}{2.5}(2) = \frac{-1}{2.5} * 15[/tex]

Simplify each bracket

[tex](5 - n) + \frac{-2}{2.5} = \frac{-15}{2.5}[/tex]

[tex](5 - n) - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]

[tex]5 - n - 0.8 = -6[/tex]

Tilana is also correct

Hence, all three students are correct

Answer:

All of them are correct

Step-by-step explanation:

Answer:

The House

Step-by-step explanation:

Answer:

-1/4

Step-by-step explanation:

Slope = y/x - y1/x1

=> -7/7 - (-3/-9)

=> -7 +3 / 7+9

=> -4/16

=> -1/4

The slope for the given coordinates of points is -1/4.

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.

The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given points are (-9, -3) and (7,-7).

The general expression to find the slope for two points (x₁, y₁) and (x₂, y₂) is given as,

m = (y₁ - y₂)/(x₁ - x₂)

Plug (x₁, y₁) = (-9, -3) and (x₂, y₂) = (7, -7) to get,

⇒ m = (-3 + 7)/(-9 - 7)

⇒ -1/4

Hence, the slope is obtained as -1/4.

To know more about slope click on,

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Answer:

B. 6,940,000

Step-by-step explanation:

6.94 x 10^6

Make the number "6.94" as 694.

Since we make this decimal point move 2 places to the right.

We should decrease 2 powers from 10^6

=> 694 x 10^4

=> 694 x 10000

=> 6,940,000

So, the answer is B

Step-by-step explanation:

u just need to imagine it was x^2-17X+16 in the beginning and add square onto the x after u factorise. then solve the x. hope it helps

Answer: 54.29%

Step-by-step explanation:

Given: The probability that they  will win both games is 38%.

i.e. P( both games will win) =0.38

The probability that they will win just the first game is  70%.

P(first game will win) = 0.70

To find : P(second game will win| first game will win)

Using formula: [tex]P(B|A)=\dfrac{P(\text{both A and B})}{P(A)}[/tex]

So, P(second game will win| first game will win) = [tex]\dfrac{\text{ P( both games will win)}}{\text{P(first game will win)}}[/tex]

[tex]=\frac{0.38}{0.70}\approx0.5429=54.29\%[/tex]

Hence, the required probability = 54.29%

Answer:

2(10) is implied multiplication

Step-by-step explanation:

( 18+2) + 2(10) ÷4 -2

PEMDAS

Parentheses first

( 20) + 2(10) ÷4 -2

Then exponents ( we have none)

Then multiply and divide from left to right

20 + 20÷4 -2

20 + 5-2

Then add and subtract from left to right

25 -2

23

2(10) is implied multiplication

Answer:

23

Step-by-step equation

(18+2)+2(10)÷4-2

20+20÷4-2

20+5-2

25-2

23

Answer:

1. C = 10π, A = 25π

2. 9 cm³

Step-by-step explanation:

Formula for circumference = πd

Formula for area of a circle = πr²

1. Set up the equation for circumference

10π

2. Set up the equation for area (radius = 1/2diameter) and solve

π(5²) = 25π

Formula for volume of a square pyramid = 1/3s² · h

The volume of a square pyramid is equal to 1/3 of the volume of a cube. The formula for a volume of a cube is s³ which is equal to s² · h because a cube has the same side length for all sides. Therefore, the volume of a square pyramid that perfectly fits within a given cube would equal 1/3 the volume of the cube.

1. Set up the equation and solve

27 ÷ 3 = 9

Answer:

Step-by-step explanation:

3.

diameter is equal two radiuses

D = 10 = 2R   ⇒  R = 5

circumference:  C = 2πR = 2R•π = 10π

area:                    A = πR² = π•5² = 25π

4.

If square pyramid fit perfectly inside cube then its base is the same as a face of cube, and the height (H) of pyramid is equal to the edge (S) of its base.

[tex]A_p=\frac13S^2\cdot H =\frac13S^2\cdot S=\frac13S^3=\frac13A_c=\frac13\cdot27\,cm^3=9\,cm^3[/tex]

THIS IS COMPLETE QUESTION

computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.2 centimeters. A random sample of 16 computer chip is taken. What is the probability that the sample mean will be below 0.95?

Answer:

the probability is P=0.045

Step-by-step explanation:

We were given mean of computer chips as 1 centimeter and a standard deviation of 0.1 centimeter

We were given

σ=0.1

n=16

We calculate:

Z=(0.95-1)/0.1 √16

Z=-0.125

Using the standard z- tables. to get the probability we have

P(X<0.95)=P(z<-0.115)=0.045

Therefore, probability is P=0.045

Answer:

Distance D = √ [(2 - x)^2 + (3 - 4x^3)^2].

Step-by-step explanation:

Use the distance formula:

D = √[(x2 - x1)^2 + (y2 - y1)^2].

So here it is

D = √[(2 - x)^2 + (4 - y)^2]    where x,y is any point on the curve.

D = √[2 - x)^2 + (4 - (4x^3 + 1))^2]

D = √ [(2 - x)^2 + (3 - 4x^3)^2]

Answer:

A

Step-by-step explanation:

Both angles together are supplementary, or they add up to 180 degrees.

(3x+12)+x=180 degrees

Answer:A. (3x+12)+x=180

Step-by-step explanation:

Answer:

  $562.75

Step-by-step explanation:

The future value formula is good for this.

  FV = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years.

Using your numbers, we find the account value to be ...

  FV = $500(1 +.06/2)^(2·2) = $500·1.03^4 ≈ $562.75

There will be $562.75 in the account after 2 years.

Answer:

The shaded area is 18 ft^2

Step-by-step explanation:

First find the area of the total trapezoid

A = bh

A = 1/2 ( b1+b2) *h

   = 1/2 ( 6+12) *6

   = 1/2 ( 18)*6

   =54

Now find the area of the triangle

A = 1/2 bh

   = 1/2 ( 12) * 6

   = 36

Subtract the triangle from the trapezoid

54-36

18

The shaded area is 18 ft^2

Answer:

D. 18 sq.ft

Step-by-step explanation:

Lets make it simple and short.

Area of a triangle is 1/2 b h

b = 6

h = 6

Area = 1/2 * 6 * 6

Area = 18 sq.ft

Work Shown:

10^(-3) = 1/( 10^3 ) = 1/1000 = 0.001

The rule used here is x^(-k) = 1/( x^k )

Answer:

C. O.001

Step-by-step explanation:

10^-3 = (1)/(10^3)

move the negative exponent to the denominator

(1)/(1000)

simplify 10^3 in the denominator

(1)/(1000) = 0.001

Answer:

first number after the decimal point

Step-by-step explanation:

after the decimal point is the tenths, hundredths, and thousandths place.

0.1 - tenths

0.09 - hundredths

0.006 - thousandths

Answer:

(5*7)-f

Step-by-step explanation:

Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]

Algebraic expression is the combination of terms that consists of numbers  and variables connected by arithmetic operators.

Given statement is 5 times the quantity 7 minus a number f in an algebraic expression.

We need to write it in an algebraic expression

5 times a quantity. for product we use multiplication sign

For addition we use + sign and for difference we use minus sign .

5 times the quantity 7 means 5 multiplied by 7

[tex]5 \cdot 7[/tex]

5 times the quantity 7 minus a number f  

subtract f from the expression we got

[tex]5 \cdot 7 -f[/tex]

Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]

Learn more information about 'Algebraic expression ' here:

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Answer:

Step-by-step explanation:

_____ / 9

2/12

Multiply the divisor (9) by the quotient (12) and to the result add the remainder (2).

9 × 12 + 2 =

108 + 2 = 110

110 is the number divided.

110/9

20/12

2

c. Tu | MN and MN || PQ I am done with the interview

Answer:

approximately 12.04 units

Step-by-step explanation:

We'll use the Pythagorean Theorem to solve this problem.

There are two points here.  The horizontal distance between them is 8 units and the vertical distance is 9.

According to the Pythagorean Theorem (or the Distance Formula), the distance between the two points is

d = √(8^2 + 9^2) = √(64 + 81) = √145 units, or approximately 12.04 units.

Answer:

When the plane makes its turn to fly southeast, it makes a 45º angle at point a, making angle abc also equal to 45º.  

Line ab is the 2 miles southeast the plane flies.

Line ac = line cb

sine (45º) = opposite / hypotenuse = cb / 2

.70711 = cb / 2

cb = 1.41422  miles = line ac

Line cs = 3 - 1.41422 = 1.58578

Line x^2 = cs^2 + cb^2

Line x^2 = 2.5146982084  + 2.0000182084

Line x^2 = 4.5147

Line x = 2.1248

Step-by-step explanation:

Answer:

Q = 6

Step-by-step explanation:

Step 1: Write equation

4 - Q = -2

Step 2: Subtract 4 on both sides (Subtraction Equality)

-Q = -6

Step 3: Divide -1 on both sides (Division Equality)

Q = 6

And we have our answer!

Answer:

Step-by-step explanation:

[tex] \mathrm{4 - Q = - 2}[/tex]

Move constant to R.H.S and change its sign

[tex] \mathrm{ - Q = - 2 - 4}[/tex]

Calculate

[tex] \mathrm{ - Q = - 6}[/tex]

Change the signs on both sides of the equation

[tex] \mathrm{Q = 6}[/tex]

Hope I helped!

Best regards!

Answer:

(if you just add them together), it is 16 hours and 12 minutes

Step-by-step explanation:

8 hours plus 7 hours is 15 hours. 54 minutes plus 6 minutes is another hour. We then have 12 minutes left over. This could also be 16 1/5 hrs.

Answer:

zeros -1,3  and the factors ( x+1) (x-3)

Step-by-step explanation:

The zeros are where it crosses the x axis

It crosses at x=-1 and x=3

So the factors are ( x- -1) and ( x-3)

                                ( x+1) (x-3)

Answer:

[tex]\boxed{x = -1, \ x = 3 \ \ ( x+1) (x-3)}[/tex]

Step-by-step explanation:

Zeros of the function:

The zeros of a function is when the y value is 0 or where the function crosses the x-axis.

The function crosses the x-axis at x = -1 and x = 3.

Factors of the function:

[tex]y=x^2 - 2x- 3[/tex]

Factor the right side.

[tex]y=x^2 +1x-3x- 3[/tex]

[tex]y=x(x +1) -3(x+1)[/tex]

Take (x + 1) common.

[tex]y=(x+1)(x-3)[/tex]

The factors are (x + 1) and (x - 3).

Answer:

x = √11

Step-by-step explanation:

2x² - 1 = 21

add 1 to both sides

2x² - 1 + 1 = 21 + 1

simplify

2x² = 22

x² = 22 / 2

x = √11

Answer:

x = √11

Step-by-step explanation

2x² - 1 = 21

negative sign crossing an equal to sign becomes a positive sign

2x² - 1  = 21 + 1

2x² = 22

x² = 22 / 2

x = √11

Answer:

y=6x-23

Step-by-step explanation:

-5=6(3)+b

-5=18+b

b=-23

If this helps, plz give brainly, I rlly need it!

Answer:

6x-23

Step-by-step explanation:

This building is basically a cylinder with a hemisphere on top. Let d be the diameter of the hemispherical roof. This is also the height of the entire building as the greatest height is this value (which is located at the center of the building)

The hemisphere itself is r = d/2 meters high, which is the radius of the roof. The cylinder portion's height must be d - r = d - d/2 = 2d/2 - d/2 = d/2 = r meters. So basically the cylinder and the hemisphere both have the same height of r.

At the same time, the cylinder and hemisphere also have the same radius r, or else the roof wouldn't fit on the cylinder.

------------------------------

Volume of cylinder = pi*r^2*h = pi*r^2*r = pi*r^3

Note how I replaced h with r and simplified.

Also,

Volume of hemisphere = (1/2)*(volume of sphere)

Volume of hemisphere = (1/2)*( (4/3)*pi*r^3 )

Volume of hemisphere = (2/3)*pi*r^3

------------------------------

Add the two volume expressions

total volume = (volume of cylinder) + (volume of hemisphere)

total volume = (pi*r^3) + (  (2/3)*pi*r^3 )

total volume = (3/3)pi*r^3 + (2/3)pi*r^3

total volume = (5/3)pi*r^3

------------------------------

Set this equal to 43510 and solve for r

(5/3)pi*r^3 = 43510

pi*r^3 = (3/5)*43510

pi*r^3 = 26106

r^3 = 26106/pi

r = (26106/pi)^(1/3)

r = 20.2549023450428

The building has a radius of approximately 20.2549023450428 meters

------------------------------

We can now compute the area of the circular floor

area = pi*r^2

area = pi*(20.2549023450428)^2

area = 1,288.87316044698

Round this however you need to

Answer:

1/7 is left

Step-by-step explanation:

What is left to read after the first week

1 - 3/7

7/7 - 3/7

4/7

He read 3/4 of this the second week

4/7 * 3/4

3/7 was read

4/7 - 3/7 is what is left

1/7 is left

Answer:

The correct answer is

Step-by-step explanation:

1/7 of the book is left to read.

Hope this helps....

Have a nice day!!!!